一类非线性对流－扩散问题的特征－差分法  

Characteristic Difference Method for One Kind of Nonlinear Convection-Diffusion Problem

作　　者：张秀艳 

出　　处：《河北大学学报（自然科学版）》1996年第1期15-21,共7页Journal of Hebei University(Natural Science Edition)

摘　　要：本文研究了一类具有Ｄｉｒｉｃｈｌｅｔ边界的一维非线性对流－扩散问题的特征－差分解法，给出了其特征－差分格式的Ｌ２模最佳收敛阶估计。In this paper, we discuss a kind of one dimensional nonlinear convection-diffution problem:u(0,t) = u(1,t) =0, t∈[0,T]; u = (x,0) = u0(x), x∈(0,1) We establish the Characteristic difference methods based on linear insert, quadratic insert and give the optimal order error estimates of L2 norm. The results of Douglas, You tongshun are improved.

关 键 词：模误差估计 对流-扩散问题 非线性 特征-差分法 

分 类 号：O241.82[理学—计算数学]